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Finding the Fourth Proportional to 2,065.50, 2,850.59 and 1,181.18

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Solution

The fourth proportional to 2,065.50, 2,850.59 and 1,181.18 is: 1,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.50 : 2,850.59 = 1,181.18 : x
  2. Step 2: Convert to fraction form
    2,065.50/2,850.59 = 1,181.18/x
  3. Step 3: Cross multiply
    2,065.50x = 2,850.59 × 1,181.18
  4. Step 4: Simplify right side
    2,065.50x = 3,367,069.98
  5. Step 5: Solve for x
    x = 3,367,069.98/2,065.50
  6. Step 6: Final answer
    x = 1,630.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.